Principal bundles, quasi-abelian varieties and structure of algebraic groups

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dc.creatorde Salas, Carlos Sancho
dc.creatorde Salas, Fernando Sancho
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:46:11Z
dc.date.available2026-07-07T09:46:11Z
dc.descriptionWe classify principal bundles over anti-affine schemes with affine and commutative structural group. We show that this yields the classification of quasi-abelian varieties over a field k (i.e., group k-schemes with no non constant global functions). The interest of this result is given by the fact that the classification of smooth group k-schemes is reduced to the classification of quasi-abelian varieties and of certain affine group schemes.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0806.3712
dc.identifierhttp://arxiv.org/abs/0806.3712
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163444
dc.subjectAlgebraic Geometry
dc.subject14L15
dc.titlePrincipal bundles, quasi-abelian varieties and structure of algebraic groups
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